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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
Relativity From Mathematics Or Why Newton Could Have Beaten Einstein To The Punch, Diego Castano
Relativity From Mathematics Or Why Newton Could Have Beaten Einstein To The Punch, Diego Castano
Mathematics Colloquium Series
Special Relativity was developed by Albert Einstein and relied crucially on Electromagnetism, a theory not fully developed until 1873. Yet there is nothing in the basic theory's development that requires physics beyond what Newton knew. A derivation of the theory based on Newton's laws and mathematical consistency is presented.
Using Multivariate Statistical Techniques To Aid In A Sports Index Construction, Tiffany Kelly
Using Multivariate Statistical Techniques To Aid In A Sports Index Construction, Tiffany Kelly
Mathematics Colloquium Series
Within a quantitative career, you are/will soon be challenged to create an overall value to explain a situational status. For example, socio-economic status, well-being, and in this specific example, happiness among sports fans. This talk seeks to discuss my previous work developed out from student research performed at NSU in its application to my first project for ESPN Sports Analytics, the College Football Fan Happiness Index (http://es.pn/2vmParA) . I will dive into the multivariate statistical techniques of principal component analysis and hierarchal clustering to create this happiness index from a slew of variables.
Harnack Inequalities: From Poincare Conjecture To Matrix Determinant, Fuzhen (Frank) Zhang
Harnack Inequalities: From Poincare Conjecture To Matrix Determinant, Fuzhen (Frank) Zhang
Mathematics Colloquium Series
With a brief survey on the Harnack inequalities in various forms in Functional Analysis, in Partial Differential Equations, and in Perelman’s solution of the Poincare Conjecture, we discuss the Harnack inequality in Linear Algebra and Matrix Analysis. We present an extension of Tung’s inequality of Harnack type and study the equality case.
Power Means Of Matrices, Jose Franco
Power Means Of Matrices, Jose Franco
Mathematics Colloquium Series
In this talk we will study the different ways the power means of positive numbers can be extended to means of positive definite matrices. Then, we will analyze the properties these means satisfy. Among these properties, we will be interested in analytic properties such as monotonicity and convexity. Using these results, we will compare the power means with other interpolations between the Arithmetic-Geometric-Harmonic means.
Heart Valve Tissue Engineering: Mathematical Modeling For Bioreactor Studies, Manuel Salinas
Heart Valve Tissue Engineering: Mathematical Modeling For Bioreactor Studies, Manuel Salinas
Mathematics Colloquium Series
Mechanical conditioning has been shown to promote tissue formation in a wide variety of tissue engineering studies, but the underlying mechanisms by which external mechanical stimuli regulate cells and tissues are not fully understood. This is particularly relevant in the area of heart valve tissue engineering (HVTE) due to the intense hemodynamic environments that surround native valves. Some studies suggest that oscillatory shear stress (OSS) caused by steady flow and scaffold flexure play a critical role in engineered tissue formation derived from bone marrow derived stem cells (BMSCs). In addition, scaffold flexure may enhance the transport of nutrients such as …